# Extensions 1→N→G→Q→1 with N=Q8×C11 and Q=C22

Direct product G=N×Q with N=Q8×C11 and Q=C22
dρLabelID
Q8×C2×C22352Q8xC2xC22352,190

Semidirect products G=N:Q with N=Q8×C11 and Q=C22
extensionφ:Q→Out NdρLabelID
(Q8×C11)⋊1C22 = SD16×D11φ: C22/C1C22 ⊆ Out Q8×C11884(Q8xC11):1C2^2352,108
(Q8×C11)⋊2C22 = D88⋊C2φ: C22/C1C22 ⊆ Out Q8×C11884+(Q8xC11):2C2^2352,109
(Q8×C11)⋊3C22 = C2×Q8⋊D11φ: C22/C2C2 ⊆ Out Q8×C11176(Q8xC11):3C2^2352,136
(Q8×C11)⋊4C22 = Q8⋊D22φ: C22/C2C2 ⊆ Out Q8×C11884+(Q8xC11):4C2^2352,144
(Q8×C11)⋊5C22 = C2×Q8×D11φ: C22/C2C2 ⊆ Out Q8×C11176(Q8xC11):5C2^2352,180
(Q8×C11)⋊6C22 = C2×D44⋊C2φ: C22/C2C2 ⊆ Out Q8×C11176(Q8xC11):6C2^2352,181
(Q8×C11)⋊7C22 = C4○D4×D11φ: C22/C2C2 ⊆ Out Q8×C11884(Q8xC11):7C2^2352,183
(Q8×C11)⋊8C22 = D48D22φ: C22/C2C2 ⊆ Out Q8×C11884+(Q8xC11):8C2^2352,184
(Q8×C11)⋊9C22 = SD16×C22φ: C22/C2C2 ⊆ Out Q8×C11176(Q8xC11):9C2^2352,168
(Q8×C11)⋊10C22 = C11×C8⋊C22φ: C22/C2C2 ⊆ Out Q8×C11884(Q8xC11):10C2^2352,171
(Q8×C11)⋊11C22 = C4○D4×C22φ: trivial image176(Q8xC11):11C2^2352,191
(Q8×C11)⋊12C22 = C11×2+ 1+4φ: trivial image884(Q8xC11):12C2^2352,192

Non-split extensions G=N.Q with N=Q8×C11 and Q=C22
extensionφ:Q→Out NdρLabelID
(Q8×C11).1C22 = D4.D22φ: C22/C1C22 ⊆ Out Q8×C111764-(Q8xC11).1C2^2352,110
(Q8×C11).2C22 = Q8.D22φ: C22/C1C22 ⊆ Out Q8×C111764(Q8xC11).2C2^2352,111
(Q8×C11).3C22 = Q16×D11φ: C22/C1C22 ⊆ Out Q8×C111764-(Q8xC11).3C2^2352,112
(Q8×C11).4C22 = Q16⋊D11φ: C22/C1C22 ⊆ Out Q8×C111764(Q8xC11).4C2^2352,113
(Q8×C11).5C22 = D885C2φ: C22/C1C22 ⊆ Out Q8×C111764+(Q8xC11).5C2^2352,114
(Q8×C11).6C22 = C44.C23φ: C22/C2C2 ⊆ Out Q8×C111764(Q8xC11).6C2^2352,137
(Q8×C11).7C22 = C2×C11⋊Q16φ: C22/C2C2 ⊆ Out Q8×C11352(Q8xC11).7C2^2352,138
(Q8×C11).8C22 = D4.8D22φ: C22/C2C2 ⊆ Out Q8×C111764(Q8xC11).8C2^2352,145
(Q8×C11).9C22 = D4.9D22φ: C22/C2C2 ⊆ Out Q8×C111764-(Q8xC11).9C2^2352,146
(Q8×C11).10C22 = Q8.10D22φ: C22/C2C2 ⊆ Out Q8×C111764(Q8xC11).10C2^2352,182
(Q8×C11).11C22 = D4.10D22φ: C22/C2C2 ⊆ Out Q8×C111764-(Q8xC11).11C2^2352,185
(Q8×C11).12C22 = Q16×C22φ: C22/C2C2 ⊆ Out Q8×C11352(Q8xC11).12C2^2352,169
(Q8×C11).13C22 = C11×C4○D8φ: C22/C2C2 ⊆ Out Q8×C111762(Q8xC11).13C2^2352,170
(Q8×C11).14C22 = C11×C8.C22φ: C22/C2C2 ⊆ Out Q8×C111764(Q8xC11).14C2^2352,172
(Q8×C11).15C22 = C11×2- 1+4φ: trivial image1764(Q8xC11).15C2^2352,193

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